TIGHT LOWER BOUNDS TO EIGENVALUES OF THE SCHRODINGER-EQUATION

被引：25

作者：

HILL, RN

机构：

[1] Physics Department, University of Delaware, Newark, DE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 08期

关键词：

D O I：

10.1063/1.524700

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new tight lower bound to eigenvalues of the Schrödinger equation, which tends to be better than the well-known Temple lower bound, is presented. The new bound works (as does the Temple bound) for both ground and excited states. Optimization of both the Temple bound and the new tight bound with respect to a variational trial function is discussed. Numerical results are given for the anharmonic oscillator. © 1980 American Institute of Physics.

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页码：2182 / 2192

页数：11

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